Review of vectors, scalars and vector products

Three dimensional coordinate system and equation of straight line and plane

Review of functions and graphs,

Limits & Continuity,

Techniques of Finding Limits,

Discontinuity,

Limits of Sine and Cosine and Exponential Functions

Introduction to Derivatives

Tenses in English Grammar

Examples of Derivatives

Derivative as Rate of Change

Derivative’s Rules

Implicit Differentiation

Higher order derivatives

Leibnitz Theorem

Applications of Derivatives

Monotonic functions

Optimization problems

Relative and Absolute extrema

First and second derivative tests

Point of inflection

Concavity

Curvature

Indeterminate Forms and L’ Hospital rule

Differentials

Integrals and Properties of Integrals

Techniques of Integration

Integration by Parts

Definite Integrals

Integration of Trigonometric

Exponential and Inverse Functions

Integration by Partial Fractions

Reduction Rules

Applications of Integration

Area under the curve

Area between curves

Solids of Revolution

Volume of Solids of revolution by disk

washer, Cylindrical shell & Cross Section Methods

Center of Pressure and Depth of Center of Pressure

Center of mass

Arc length

Improper Integral

Convergence of improper integrals

Sequence and Infinite Series

Convergence and Divergence of sequences and series

Positive Term Series

Integral Test

Basic Comparison Test

Limit Comparison Test

Ratio and Root tests

Alternating series

Absolute and Conditional Convergence

Power series

Maclaurin and Taylor Series and its Applications